Mutually Exclusive and Independent Events

Front

What are mutually exclusive events?

Back

Mutually exclusive events are events that cannot occur at the same time. For example, when flipping a coin, getting heads and tails on the same flip are mutually exclusive.

Front

What are independent events?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die are independent events.

Front

What is the probability of flipping a coin and getting heads?

Back

The probability of flipping a coin and getting heads is 1/2.

Front

If you flip a coin three times, what is the probability that all flips will land on heads?

Back

The probability is 1/2 * 1/2 * 1/2 = 1/8.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event is calculated as: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean to draw without replacement?

Back

Drawing without replacement means that once an item is drawn, it is not put back into the pool for future draws, affecting the total number of items available.

Front

What is the probability of drawing an orange marble from a bag containing 5 purple, 3 green, and 2 orange marbles?

Back

The probability is 2/(5+3+2) = 2/10 = 1/5.

Front

If you have two bags of marbles, how do you determine which bag has a higher probability of selecting a specific color?

Back

Calculate the probability of selecting that color from each bag and compare the results.

Front

What is the probability of drawing a green marble first and then an orange marble from a bag without replacement?

Back

If there are 3 green and 2 orange marbles, the probability is (3/5) * (2/4) = 6/20 = 3/10.

Front

What is experimental probability?

Back

Experimental probability is the probability determined by conducting an experiment and recording the outcomes.